Analysis of weakly symmetric mixed finite elements for elasticity

Lederer, Philip; Stenberg, Rolf

doi:10.1090/mcom/3865

Analysis of weakly symmetric mixed finite elements for elasticity
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by Philip L. Lederer and Rolf Stenberg;

Math. Comp. 93 (2024), 523-550

DOI: https://doi.org/10.1090/mcom/3865

Published electronically: June 14, 2023

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Abstract:

We consider mixed finite element methods for linear elasticity where the symmetry of the stress tensor is weakly enforced. Both an a priori and a posteriori error analysis are given for several known families of methods that are uniformly valid in the incompressible limit. A posteriori estimates are derived for both the compressible and incompressible cases. The results are verified by numerical examples.

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